Search a number
-
+
10371872 = 257192437
BaseRepresentation
bin100111100100…
…001100100000
3201111221112102
4213210030200
510123344442
61010145532
7154105460
oct47441440
921457472
1010371872
1159445a5
1235822a8
1321c1c04
14153dba0
15d9d232
hex9e4320

10371872 has 48 divisors (see below), whose sum is σ = 24575040. Its totient is φ = 4209408.

The previous prime is 10371863. The next prime is 10371899. The reversal of 10371872 is 27817301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3038 + ... + 5474.

It is an arithmetic number, because the mean of its divisors is an integer number (511980).

Almost surely, 210371872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10371872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12287520).

10371872 is an abundant number, since it is smaller than the sum of its proper divisors (14203168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10371872 is a wasteful number, since it uses less digits than its factorization.

10371872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 10371872 is about 3220.5390853085. The cubic root of 10371872 is about 218.0816124024.

The spelling of 10371872 in words is "ten million, three hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 2437 4256 4874 9748 17059 19496 34118 38992 46303 68236 77984 92606 136472 185212 272944 324121 370424 545888 648242 740848 1296484 1481696 2592968 5185936 10371872